Finding the Fourth Proportional to 2,942.56, 4,413.88 and 1,298.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,942.56 : 4,413.88 = 1,298.76 : x
2. Step 2: Convert to fraction form
   2,942.56/4,413.88 = 1,298.76/x
3. Step 3: Cross multiply
   2,942.56x = 4,413.88 × 1,298.76
4. Step 4: Simplify right side
   2,942.56x = 5,732,570.79
5. Step 5: Solve for x
   x = 5,732,570.79/2,942.56
6. Step 6: Final answer
   x = 1,948.16